%0 Journal Article
%T On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Budak, Huseyin
%A Pehlivan, Ebru
%A Kosem, PÄ±nar
%D 2021
%\ 02/01/2021
%V 18
%N 1
%P 73-88
%! On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
%K Hermite-Hadamard inequality
%K convex function
%K Bounded function
%R 10.22130/scma.2020.121963.759
%X In this paper, we establish some Trapezoid and Midpoint type inequalities for generalized fractional integrals by utilizing the functions whose second derivatives are bounded . We also give some new inequalities for $k$-Riemann-Liouville fractional integrals as special cases of our main results. We also obtain some Hermite-Hadamard type inequalities by using the condition $f^{prime }(a+b-x)geq f^{prime }(x)$ for all $xin left[ a,frac{a+b}{2}right] $ instead of convexity.
%U https://scma.maragheh.ac.ir/article_239415_3352d66ff13ca0aaf786ddd8dec3bac3.pdf